Derivatives are a fundamental concept in calculus, used to measure the rate of change of a function with respect to its input. They are used in various fields such as physics, engineering, economics, and computer science.
Definition
Geometric Interpretation
Table of Rules & Formulas
Graphical Aspect
Sum and Difference Rule
Constant Multiple Rule
Product Rule
Quotient Rule
Chain Rule
Trigonometric Functions
Exponential Functions
Logarithmic Functions
Inverse Trigonometric Functions
Hyperbolic Functions
Inverse Hyperbolic Functions
Inverse Functions
Composite Functions
Implicit Functions
Parametric Functions
Polar Functions
Function w.r.t another Function
Successive Differentiation
Functions in Determinant form
Higher Order
Partial Derivative
Related Rates Problems
Optimization Problems
Application in Economics